• Title/Summary/Keyword: Basic Arithmetic

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Aerodynamic Properties of Granular Agrichemicals (입제 비료 및 농약의 공기역학적 성질)

  • 이성호;이중용;정창주;이채식
    • Journal of Biosystems Engineering
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    • v.23 no.2
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    • pp.105-114
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    • 1998
  • Granule application with a boom has merits of accurate application and high field efficiency. In order to develop a boom granule applicator, aerodynamic properties of agrichemicals should be investigated. This study was accomplished to investigate aerodynamic properties of granules and factors affecting on them. The tested agrichemicals were urea, compound fertilizer (17-21-17), sand and zeolite. Basic physical properties of granules such as true density, sphericity, and arithmetic mean diameter for those materials were analyzed. Regression equations for pickup velocity (v$_{p}$) and saltation velocity (v$_{s}$) were proposed by the data transformation and the multi-regression analysis as follows : (equation omitted) where, 0< s < 1, 0< λ$_{i}$< 3, 35 < D/d$_{p}$ < 350, 1000 $_{p}$/p$_{a}$ < 2500 The range of pickup velocity of fertilizers and other agrichemicals were shown to be 10-16m/s and 9-13m/s, respectively. The saltation velocity of fertilizer and other agrichemicals were 3 m/s and 4 m/s, respectively.y.ively.y.y.

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Analysis of optimal solutions and its tiling in $m{\times}n$ size Black-Out Game ($m{\times}n$ 크기의 일반적인 흑백 게임의 최적해와 타일링)

  • Kim, Duk-Sun;Lee, Sang-Gu
    • Communications of Mathematical Education
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    • v.21 no.4
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    • pp.597-612
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    • 2007
  • For finding the optimal strategy in Blackout game which was introduced in the homepage of popular movie "Beautiful mind", we have developed and generalized a mathematical proof and an algorithm with a couple of softwares. It did require only the concept of basis and knowledge of basic linear algebra. Mathematical modeling and analysis were given for the square matrix case in(Lee,2004) and we now generalize it to a generalized $m{\times}n$ Blackout game. New proof and algorithm will be given with a visualization.

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A Gemetric Kinematic Analysis of Constrained Multibody System (구속된 다물체 시스템을 위한 기하학적 운동구속론)

  • 김재용;배대성;한창수;이상호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.4
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    • pp.80-90
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    • 1994
  • Basic constraint equations derived from orthogonality conditions between a pair of body-fixed vectors and a body-fixed vector or a vector between two bodies are reformulated by using relative coordinate kinematics between two adjacent reference frames. Arithmetic numbers of operations required to compute derivatives of the constraint equations are drastically reduced. A mixed formulation of relative and cartesian coordinates is developed to further simplify derivatives of the constraints. Advantages and disadvantages of the new formulation are discussed. Possible singularity problem of para llelism constraints is resolved by introducing an extra generalized coordinate. Kinematic analysis of a McPherson strut suspension system are carried out to illustrate use and efficiency of the new formulation.

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Geometric Kernel for CAD/CAM Application Software Development (CAD/CAM 응용 소프트웨어 개발은 위한 형상 커널 개발)

  • 정연찬;박준철
    • Korean Journal of Computational Design and Engineering
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    • v.6 no.4
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    • pp.271-276
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    • 2001
  • A geometric kernel is the library of core mathematical functions that defines and stores 3D shapes in response to users'commands. We developed a light geometric kernel suitable to develop CAD/CAM application systems. The kernel contains geometric objects, such as points, curves and surfaces and a minimal set of functions for each type but does not contain lots of modeling and handling functions that are useful to create and maintain complex shapes from an idea sketch. The kernel was developed on MS-Windows NT using C++ with STL(Standard Template Library) but it is compatible with UNIX environments. This paper describes the structure of the kernel including several components: base, math, point sequence curve, geometry, translators. The base kernel gives portability to applications and the math kernel contains basic arithmetic and their classes, such as vector and matrix. The geometry kernel contains points, parametric curves, and parametric surfaces. A neutral fie format and programming and document styles are also presented in this paper.

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A Study on Constructing Highly Adder/multiplier Systems over Galois Felds

  • Park, Chun-Myoung
    • Proceedings of the IEEK Conference
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    • 2000.07a
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    • pp.318-321
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    • 2000
  • This paper propose the method of constructing the highly efficiency adder and multiplier systems over finite fie2, degree of uk terms, therefore we decrease k into m-1 degree using irreducible primitive polynomial. We propose two method of control signal generation for perform above decrease process. One method is the combinational logic expression and the other method is universal signal generation. The proposed method of constructing the highly adder/multiplier systems is as following. First of all, we obtain algorithms for addition and multiplication arithmetic operation based on the mathematical properties over finite fields, next we construct basic cell of A-cell and M-cell using T-gate and modP cyclic gate. Finally we construct adder module and multiplier module over finite fields after synthesize ${\alpha}$$\^$k/ generation module and control signal CSt generation module with A-cell and M-cell. Then, we propose the future research and prospects.

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Study on Available-To-Promise Algorithm for Determining Available Delivery Time - (가능납기 산정을 위한 ATP 알고리즘 연구)

  • 박재현;양광모;김건호
    • Journal of the Korea Safety Management & Science
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    • v.3 no.4
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    • pp.181-191
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    • 2001
  • Integrated Supply Chain Management is a important subject for all enterprise activities as include logistics/sales, transfer and storage, manufacturing, purchasing of materials. A recent customer wants to receive high level service of all parts as Qualify, Delivery, Cost and Product. Therefore, Enterprise effort to supply for customers needs use some techniques like Data Mining, POS, MIS. Inventory and Logistics cost is the highest expense of all cost from first supplier to final customer on supply routine. So, SCM's basic purpose is reduce to that cost. So that this paper explain necessary, background, concept of SCM, analyze several using methodology and function of main SCM solution, after propose to ATP model include arithmetic procedure, functions, input data for determines available due date.

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Parallel algorithm of global routing for general purpose associative processign system (법용 연합 처리 시스템에서의 전역배선 병렬화 기법)

  • Park, Taegeun
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.4
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    • pp.93-102
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    • 1995
  • This paper introduces a general purpose Associative Processor(AP) which is very efficient for search-oriented applications. The proposed architecture consists of three main functional blocks: Content-Addressable Memory(CAM) arry, row logic, and control section. The proposed AP is a Single-Instruction, Multiple-Data(SIMD) device based on a CAM core and an array of high speed processors. As an application for the proposed hardware, we present a parallel algorithm to solve a global routing problem in the layout process utilizing the processing capabilities of a rudimentary logic and the selective matching and writing capability of CAMs, along with basic algorithms such a minimum(maximum) search, less(greater) than search and parallel arithmetic. We have focused on the simultaneous minimization of the desity of the channels and the wire length by sedking a less crowded channel with shorter wire distance. We present an efficient mapping technique of the problem into the CAM structure. Experimental results on difficult examples, on randomly generated data, and on benchmark problems from MCNC are included.

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STUDY OF YOUNG INEQUALITIES FOR MATRICES

  • M. AL-HAWARI;W. GHARAIBEH
    • Journal of applied mathematics & informatics
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    • v.41 no.6
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    • pp.1181-1191
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    • 2023
  • This paper investigates Young inequalities for matrices, a problem closely linked to operator theory, mathematical physics, and the arithmetic-geometric mean inequality. By obtaining new inequalities for unitarily invariant norms, we aim to derive a fresh Young inequality specifically designed for matrices.To lay the foundation for our study, we provide an overview of basic notation related to matrices. Additionally, we review previous advancements made by researchers in the field, focusing on Young improvements.Building upon this existing knowledge, we present several new enhancements of the classical Young inequality for nonnegative real numbers. Furthermore, we establish a matrix version of these improvements, tailored to the specific characteristics of matrices. Through our research, we contribute to a deeper understanding of Young inequalities in the context of matrices.

Gate-Level Conversion Methods between Boolean and Arithmetic Masks (불 마스크와 산술 마스크에 대한 게이트 레벨 변환기법)

  • Baek, Yoo-Jin
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.46 no.11
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    • pp.8-15
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    • 2009
  • Side-channel attacks including the differential power analysis attack are often more powerful than classical cryptanalysis and have to be seriously considered by cryptographic algorithm's implementers. Various countermeasures have been proposed against such attacks. In this paper, we deal with the masking method, which is known to be a very effective countermeasure against the differential power analysis attack and propose new gate-level conversion methods between Boolean and arithmetic masks. The new methods require only 6n-5 XOR and 2n-2 AND gates with 3n-2 gate delay for converting n-bit masks. The basic idea of the proposed methods is that the carry and the sum bits in the ripple adder are manipulated in a way that the adversary cannot detect the relation between these bits and the original raw data. Since the proposed methods use only bitwise operations, they are especially useful for DPA-securely implementing cryptographic algorithms in hardware which use both Boolean and arithmetic operations. For example, we applied them to securely implement the block encryption algorithm SEED in hardware and present its detailed implementation result.

A Fast Inversion for Low-Complexity System over GF(2 $^{m}$) (경량화 시스템에 적합한 유한체 $GF(2^m)$에서의 고속 역원기)

  • Kim, So-Sun;Chang, Nam-Su;Kim, Chang-Han
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.42 no.9 s.339
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    • pp.51-60
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    • 2005
  • The design of efficient cryptosystems is mainly appointed by the efficiency of the underlying finite field arithmetic. Especially, among the basic arithmetic over finite field, the rnultiplicative inversion is the most time consuming operation. In this paper, a fast inversion algerian in finite field $GF(2^m)$ with the standard basis representation is proposed. It is based on the Extended binary gcd algorithm (EBGA). The proposed algorithm executes about $18.8\%\;or\;45.9\%$ less iterations than EBGA or Montgomery inverse algorithm (MIA), respectively. In practical applications where the dimension of the field is large or may vary, systolic array sDucture becomes area-complexity and time-complexity costly or even impractical in previous algorithms. It is not suitable for low-weight and low-power systems, i.e., smartcard, the mobile phone. In this paper, we propose a new hardware architecture to apply an area-efficient and a synchronized inverter on low-complexity systems. It requires the number of addition and reduction operation less than previous architectures for computing the inverses in $GF(2^m)$ furthermore, the proposed inversion is applied over either prime or binary extension fields, more specially $GF(2^m)$ and GF(P) .